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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "Equating the rational and the irrational parts of an equation"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Give me an exam formula sheet for the binomial theorem

I am in SS 3. Build me a short formula sheet covering every formula I need for the binomia

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Worked example: expand (2-x)^5 using Pascal's triangle

I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay

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Structured question: trig equation with a coefficient inside the angle

I am in SS 3. Give me a structured trigonometric equation question where the angle inside

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Quiz me on recognising which command word fits a blank exam question

I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices

I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my

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Worked Example: The associative law for the product of three matrices

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Quiz: Solving AX equals B and XA equals B by different routes

Act as my SS3 Further Mathematics tutor and quiz me on solving AX equals B and XA equals B

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Worked Example: A singular matrix, and why it has no inverse

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Explain Back: Solving a matrix equation containing both a sum and a product

I have just studied solving a matrix equation containing both a sum and a product in my SS

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

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Spot My Mistake: Forming the determinant Dx by replacing the first column

Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by

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Quiz: Checking an inverse by multiplying to get the identity

Act as my SS3 Further Mathematics tutor and quiz me on checking an inverse by multiplying

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Quiz: Solving three simultaneous equations with the inverse matrix

Act as my SS3 Further Mathematics tutor and quiz me on solving three simultaneous equation

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Worked Example: Checking the solution of three equations by substitution

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Learn: Inertia, and what mass actually measures

You are my personal SS3 Further Mathematics tutor. Teach me inertia, and what mass actuall

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Worked Example: The weight of a body as mass times g

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Learn: A space diagram and a force diagram drawn side by side

You are my personal SS3 Further Mathematics tutor. Teach me a space diagram and a force di

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Worked Example: Drawing the polygon of forces to scale

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